What is the Least Common Multiple of 96552 and 96556?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 96552 and 96556 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96552 and 96556, than apply into the LCM equation.

GCF(96552,96556) = 4
LCM(96552,96556) = ( 96552 × 96556) / 4
LCM(96552,96556) = 9322674912 / 4
LCM(96552,96556) = 2330668728

Least Common Multiple (LCM) of 96552 and 96556 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96552 and 96556. First we will calculate the prime factors of 96552 and 96556.

Prime Factorization of 96552

Prime Factorization of 96556

Now multiplying the highest exponent prime factors to calculate the LCM of 96552 and 96556.

LCM(96552,96556) = 2³ × 3⁴ × 149¹ × 101¹ × 239¹
LCM(96552,96556) = 2330668728